Question

The moment of a force about any point is geometrically equal to....the area of the triangle whose base is line representing the force and vertex is the point about which the moment is taken.​

Answer 1

The moment of a force about any point is geometrically equal to twice the area of the triangle whose base is line representing the force and vertex is the point about which the moment is taken.​

Explanation:

Since, we know that -

• Moments are usually defined with respect to fixed reference point or frame. They deal with physical quantities as measured at some  distance from that reference point. e.g., the moment of force acting on an object.

Facts about moment of force ;

• Moment of force is a turning effect produced by a force on the body on which it acts.

• It is also equal to the product of force acting on the body and perpendicular distance of a point and the line of action .
• Geometrically - It is equal to twice the area of the triangle , whose base is line representing the force and whose vertex is the point about which the moment is taken.

Answer 2

The moment of a force

• Is the turning effect produced by a force, on the body, on which it acts.

• Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force.

• Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken.